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Harmonic frequencies of an open organ pipe

This type of question, asked 3 times: 8 Apr 2023, 6 Apr 2024, 22 Jan 2026 S2. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    8 Apr 2023

    25
    An organ pipe 40 cm40\text{ }cm long is open at both ends. The speed of sound in air is 360 ms−1360{\text{ }ms}^{- 1}. The frequency of the second harmonic is ____Hz\_\_\_\_ Hz.

  2. Question 2

    6 Apr 2024

    119
    Two open organ pipes of length 60 cm60\text{ }cm and 90 cm90\text{ }cm resonate at 6th 6^{\text{th~}} and 5th 5^{\text{th~}} harmonics respectively. The difference of frequencies for the given modes is _____ HzHz. (Velocity of sound in air =333 m/s= 333\text{ }m/s )

  3. Question 3

    22 Jan 2026 S2

    8
    In an open organ pipe v3v_{3} and v6v_{6} are 3rd3^{\text{rd}} and 6th6^{\text{th}} harmonic frequencies, respectively. If v6−v3=2200 Hzv_{6} - v_{3} = 2200\text{ }Hz then length of the pipe is ____\_\_\_\_ mm. (Take velocity of sound in air is 330 m/s330\text{ }m/s.)

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